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The price of a stock increased by 20% in Year 1 and decreased by 20% in Year 2. Quantity A: The final price. Quantity B: The original price.

GRE · 2023 · quant slot 1
Question:
The price of a stock increased by 20% in Year 1 and decreased by 20% in Year 2. Quantity A: The final price. Quantity B: The original price.

Options

(A) Quantity A is greater
(B) Quantity B is greater
(C) Equal
(D) Cannot be determined
Answer: (B) Quantity B is greater

Explanation:
Let original price = P. After year 1: 1.2P. After year 2: 1.2P × 0.8 = 0.96P. Since 0.96P < P, final price is less than original.

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